Understanding mathematics is a nuanced process that goes beyond simply grasping the basics. Even seemingly simple mathematical ideas can be deeply understood and explored. The author’s realization of this came from reading an essay by mathematician Andrey Kolmogorov about the equals sign. It showed him that he could understand the equals sign on a much […]
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Llemma is a remarkable language model designed specifically for mathematics. Developed by pretraining Code Llama on a mix of scientific papers, web data with mathematical content, and mathematical code, Llemma outperforms all existing open base models on the MATH benchmark, as well as the unreleased Minerva model suite. What’s even more impressive is that Llemma […]
The Guardian, a favorite news source for many, is not exempt from making errors. One recent headline about temperatures caught my attention. The article mentioned that parts of Malawi experienced a maximum temperature of 43C (109F), which is 18C above the average of 25C (77F). However, the headline claimed a temperature increase of 68F above […]
The founder of Untapped New York shares their favorite obscure fact about New York City: the pneumatic tube mail system. The system was installed in 1897, had a 27-mile route, and connected 23 post offices across Manhattan, including extending into the Bronx and Brooklyn. The tubes could carry between 400 and 600 letters and traveled […]
Psychedelic is a subgenre of Psytrance music that is characterized by driving basslines and futuristic sounds. It is often created using FM synthesis and was pioneered by London-based labels like Alchemy, Flying Rhino, and TIP Records. Progressive Psy is a subgenre that combines elements of Progressive Psy and Psychedelic, fitting between the two in terms […]
Google has a history of using Ethernet to solve problems at scale and improve the transport layer for demanding workloads. With the rise of AI/ML training and high-performance computing, the need for high bandwidth, low latency, and high message rates has grown. Google has shared its expertise in traffic shaping, congestion control, and load balancing […]
In this paper, the authors address the challenge of high-fidelity and real-time view synthesis of dynamic 3D scenes at 4K resolution. While some methods have achieved impressive rendering quality, their speed is limited when dealing with high-resolution images. To overcome this limitation, the authors propose a 4D point cloud representation called 4K4D that supports hardware […]
In a world where privacy is increasingly threatened, it is essential that we prioritize end-to-end encryption for our private data and communications. Consider a scenario where a law is passed requiring all buildings to have glass walls, with the intention of reducing criminal activity. While this may seem appealing to law-abiding citizens, it puts the […]
In the anime movie “Patlabor 2: The Movie,” there is a scene that stands out as the most accurate portrayal of modern aerial combat ever seen in film. The scene depicts a ground-controlled interception (GCI) scenario, where F-15s are scrambled to intercept rogue F-16s. The attention to technical detail and authenticity in this scene is […]
In this blog post, the author discusses the process of building a collaborative pixel art editor using CRDTs (Conflict-free Replicated Data Types). One drawback of using state-based CRDTs is the need to transmit the full state between peers, which can result in large data sizes. However, the author presents a solution to reduce the size […]